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Finding the Third Proportional to 2,720 and 6,377

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Solution

The third proportional to 2,720 and 6,377 is: 14,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720 : 6,377 = 6,377 : x
  2. Step 2: Convert to fraction form
    2,720/6,377 = 6,377/x
  3. Step 3: Cross multiply
    2,720x = 6,377 × 6,377
  4. Step 4: Simplify right side
    2,720x = 40,666,129
  5. Step 5: Solve for x
    x = 40,666,129/2,720
  6. Step 6: Final answer
    x = 14,950.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.